Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 471: 17



Work Step by Step

If the line has intercepts $a=2$ and $b=-2$ this means it contains $(2,0)$ and $(0,-2)$ . We need to find the slope now: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{-2-0}{0-2}=\frac{-2}{-2}=1$ Now, with the slope-intercept form, with m=1 and passing through $(2,0)$, the equation is: $y-y_{1}=m\times (x-x_{1})= y-0 = 1\times (x-2)$ So $x-y=2$
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